36,001,228

2² × 523 × 17209

36,001,228 factors as 2^2 × 523 × 17209. Its 12 positive divisors give a proper-divisor sum of 27,125,052, so this integer is deficient. The Collatz stopping time is 258 steps.

Prime Factor Structure

Factorization String 2^2 × 523 × 17209

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 63,126,280

Proper Divisor Sum 27,125,052

Digit Sum / Digital Root 22 (Root: 4)

Adjacent Primes #36001183 ← → #36001241

Radix Representation

Decimal	36001228
Binary	10001001010101010111001100 (26 bits)
Octal	0o211252714
Hexadecimal	0x22555CC

Divisor Catalog (12)

1 2 4 523 1,046 2,092 17,209 34,418 68,836 9,000,307 18,000,614 36,001,228

Collatz Trajectory (258 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

36,001,228 18,000,614 9,000,307 27,000,922 13,500,461 40,501,384 20,250,692 10,125,346 5,062,673 15,188,020 7,594,010 3,797,005 11,391,016 5,695,508 2,847,754 1,423,877 4,271,632 2,135,816 1,067,908 533,954 266,977 800,932 400,466 200,233 600,700 300,350 150,175 450,526 225,263 675,790 337,895 1,013,686 506,843 1,520,530 760,265 2,280,796 1,140,398 570,199 1,710,598 855,299 2,565,898 1,282,949 3,848,848 1,924,424 962,212 481,106 240,553 721,660 360,830 180,415 541,246 270,623 811,870 405,935 1,217,806 608,903 1,826,710 913,355 2,740,066 1,370,033

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